Carthage is a city in Miner County, South Dakota, United States. The population was 187 at the 2000 census. Carthage gained a small amount of attention when it was featured in the book Into the Wild by Jon Krakauer. The book's subject, Chris McCandless, took a job at a grain elevator in the community
At the 2000 census, there were 187 people, 98 households and 52 families residing in the city. The population density was 128.1 per square mile (49.5/km²). There were 143 housing units at an average density of 98.0/sq mi (37.8/km²). The racial makeup of the city was 98.93% White, and 1.07% from two or more races.
There were 98 households of which 14.3% had children under the age of 18 living with them, 49.0% were married couples living together, 4.1% had a female householder with no husband present, and 46.9% were non-families. 43.9% of all households were made up of individuals and 28.6% had someone living alone who was 65 years of age or older. The average household size was 1.91 and the average family size was 2.63.
Age distribution was 16.0% under the age of 18, 6.4% from 18 to 24, 16.0% from 25 to 44, 26.2% from 45 to 64, and 35.3% who were 65 years of age or older. The median age was 51 years. For every 100 females there were 98.9 males. For every 100 females age 18 and over, there were 84.7 males.
The median household income was $27,679, and the median family income was $32,917. Males had a median income of $26,750 versus $15,938 for females. The per capita income for the city was $15,100. About 13.2% of families and 17.4% of the population were below the poverty line, including 40.0% of those under the age of eighteen and 12.1% of those sixty five or over.

Grain elevators are buildings or complexes of buildings for storage and shipment of grain also referred to as elevators. They were invented in 1842-43 in Buffalo, New York, by a local merchant named Joseph Dart, Jr. and an engineer named Robert Dunbar. Using the steam-powered flour mills of Oliver Evans as their model, they invented the marine leg, which scooped grain out of the hulls of ships and elevated it to the top of the marine tower. Older grain elevators and bins often were constructed of framed or cribbed wood and were prone to fire. Grain elevator bins, tanks and silos are now usually constructed of steel or reinforced concrete. Bucket elevators are used to lift grain to a distributor or consignor where it flows by gravity through spouts or conveyors and into one of a number of bins, silos or tanks in a facility. When desired, the elevator's silos, bins and tanks are then emptied by gravity flow, sweep augers and conveyors. As grain is emptied from the elevator's bins, tanks and silos it is conveyed, blended and weighted into trucks, railroad cars, or barges and shipped to end users of grains (mills, ethanol plants, etc.).